Simplify −5+3/4(8h+12)−10h

Question

.(1 point)

Answer 1

To simplify the expression \(-5 + \frac{3}{4}(8h + 12) - 10h\), we can proceed step-by-step.

1. Distribute \(\frac{3}{4}\) into \((8h + 12)\): \[ \frac{3}{4}(8h) + \frac{3}{4}(12) = 6h + 9 \]

2. Substitute this back into the expression: \[ -5 + 6h + 9 - 10h \]

3. Combine like terms:

   • The \(h\) terms: \(6h - 10h = -4h\)
   • The constant terms: \(-5 + 9 = 4\)

4. Putting it all together: \[ 4 - 4h \]

Thus, the simplified expression is: \[ 4 - 4h \]